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DLARF(1)	    LAPACK auxiliary routine (version 3.2)	      DLARF(1)

NAME
       DLARF  -	 applies a real elementary reflector H to a real m by n matrix
       C, from either the left or the right

SYNOPSIS
       SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )

	   IMPLICIT	 NONE

	   CHARACTER	 SIDE

	   INTEGER	 INCV, LDC, M, N

	   DOUBLE	 PRECISION TAU

	   DOUBLE	 PRECISION C( LDC, * ), V( * ), WORK( * )

PURPOSE
       DLARF applies a real elementary reflector H to a real m by n matrix  C,
       from either the left or the right. H is represented in the form
	     H = I - tau * v * v'
       where tau is a real scalar and v is a real vector.
       If tau = 0, then H is taken to be the unit matrix.

ARGUMENTS
       SIDE    (input) CHARACTER*1
	       = 'L': form  H * C
	       = 'R': form  C * H

       M       (input) INTEGER
	       The number of rows of the matrix C.

       N       (input) INTEGER
	       The number of columns of the matrix C.

       V       (input) DOUBLE PRECISION array, dimension
	       (1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 + (N-1)*abs(INCV)) if
	       SIDE = 'R' The vector v in the representation of H.  V  is  not
	       used if TAU = 0.

       INCV    (input) INTEGER
	       The increment between elements of v. INCV <> 0.

       TAU     (input) DOUBLE PRECISION
	       The value tau in the representation of H.

       C       (input/output) DOUBLE PRECISION array, dimension (LDC,N)
	       On  entry,  the	m by n matrix C.  On exit, C is overwritten by
	       the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.

       LDC     (input) INTEGER
	       The leading dimension of the array C. LDC >= max(1,M).

       WORK    (workspace) DOUBLE PRECISION array, dimension
	       (N) if SIDE = 'L' or (M) if SIDE = 'R'

 LAPACK auxiliary routine (versioNovember 2008			      DLARF(1)
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